11045552454400 has 324 divisors, whose sum is σ = 28483626570112. Its totient is φ = 4239544320000.

The previous prime is 11045552454379. The next prime is 11045552454413. The reversal of 11045552454400 is 445425554011.

11045552454400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11045552454400³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 656253985 + ... + 656270815.

Almost surely, 2^{11045552454400} is an apocalyptic number.

11045552454400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11045552454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14241813285056).

11045552454400 is an abundant number, since it is smaller than the sum of its proper divisors (17438074115712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11045552454400 is an equidigital number, since it uses as much as digits as its factorization.

11045552454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17000 (or 16940 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 40.

The spelling of 11045552454400 in words is "eleven trillion, forty-five billion, five hundred fifty-two million, four hundred fifty-four thousand, four hundred".